120220021120122 has 288 divisors, whose sum is σ = 356038434385920. Its totient is φ = 28894539723840.

The previous prime is 120220021120009. The next prime is 120220021120123. The reversal of 120220021120122 is 221021120022021.

It is a happy number.

120220021120122 is a `hidden beast` number, since 1 + 202 + 200 + 21 + 120 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120220021120095 and 120220021120104.

It is not an unprimeable number, because it can be changed into a prime (120220021120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 343143 + ... + 15509925.

It is an arithmetic number, because the mean of its divisors is an integer number (1236244563840).

Almost surely, 2^{120220021120122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120220021120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178019217192960).

120220021120122 is an abundant number, since it is smaller than the sum of its proper divisors (235818413265798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120220021120122 is a wasteful number, since it uses less digits than its factorization.

120220021120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15166878 (or 15166868 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120220021120122 its reverse (221021120022021), we get a palindrome (341241141142143).

It can be divided in two parts, 1202200 and 21120122, that added together give a palindrome (22322322).

The spelling of 120220021120122 in words is "one hundred twenty trillion, two hundred twenty billion, twenty-one million, one hundred twenty thousand, one hundred twenty-two".